Timeline for What is the probability that two independent random vectors with a given euclidean distance $r$ fall in the same orthant?

12 events

when toggle format	what		by	license	comment
Dec 14, 2011 at 14:02	answer	added	steffen		timeline score: 3
Dec 13, 2011 at 20:41	comment	added	Farzad		@whuber: you are right but i need some more accurate, at least some thing that is function of $r$
Dec 13, 2011 at 20:23	comment	added	whuber♦		You mean the obvious bounds of $2^{-N}$ and $1$ will be fine?
Dec 13, 2011 at 20:16	comment	added	Farzad		@whuber: any upper or lower bound is quite good for me.
Dec 13, 2011 at 20:15	comment	added	Farzad		@jbowman: you are right.
Dec 13, 2011 at 6:22	history	edited	whuber♦	CC BY-SA 3.0	added 2 characters in body; edited tags
Dec 13, 2011 at 6:20	comment	added	whuber♦		What kind of answer are you looking for? Even in the case $N=1$ there is no closed form solution (except possibly for special values of $r/\sigma$).
Dec 13, 2011 at 6:15	history	edited	whuber♦	CC BY-SA 3.0	added 5 characters in body; edited title
S Dec 12, 2011 at 21:26	history	suggested	Innuo	CC BY-SA 3.0	Orthant is the correct term that suits the content of the question
Dec 12, 2011 at 21:24	review	Suggested edits
S Dec 12, 2011 at 21:26
Dec 12, 2011 at 21:04	comment	added	jbowman		I assume you meant $\Vert \mathbf{x} - \mathbf{y} \Vert$ in your last line of math?
Dec 12, 2011 at 20:50	history	asked	Farzad	CC BY-SA 3.0